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Finding the Fourth Proportional to 3,868.25, 5,803.34 and 1,132.25

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Solution

The fourth proportional to 3,868.25, 5,803.34 and 1,132.25 is: 1,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.25 : 5,803.34 = 1,132.25 : x
  2. Step 2: Convert to fraction form
    3,868.25/5,803.34 = 1,132.25/x
  3. Step 3: Cross multiply
    3,868.25x = 5,803.34 × 1,132.25
  4. Step 4: Simplify right side
    3,868.25x = 6,570,826.05
  5. Step 5: Solve for x
    x = 6,570,826.05/3,868.25
  6. Step 6: Final answer
    x = 1,698.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.